solve each inequality and graph its solution answer key

Options: Type below: Question 9. Type below: Possible answer: You can solve an absolute value inequality graphically or algebraically. He has already spent $30.25. 4n + 11 > −9 2m + 18 > −4 From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. x − 35 > 15 14 played 15 did not / didn't win 16 replied 17 wrote 18 attended 19 ended Practice file answer key. A mechanical engineer is testing the amount of force needed to make a spring stretch by a given amount. Graph the solution on a number line. First, solve the inequality: Type below: Any number greater than zero. -2x – 6.3, Question 3. Thus the correct answer is option C. Question 5. 1) n n n 2) x x x 3) p p p 4) k k k 5) .. From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. x í 3 > 7 62/87,21 The solution set is { x | x > 10}. Learn more Accept. Look for a Pattern 60 – 8 = 68 Solving this gives: Recognize the relation between the solutions of an inequality and its graph; Graph linear inequalities; Note. Its graph would like the one below: Question 3. Divide by -3 on both sides The number opposite to the variable is 140, we look for this in the number line. Type below: Remember to switch the inequality symbol since you are dividing by a negative number. q ≤ 7 Let s be the average score on the remaining 3 tests. $\frac{9}{5}$C + 32 < −40 For example: As a salesperson, you are paid $50 per week plus $3 per sale. ___________. -5z + 4 – 4 = 34 – 4 2s + 3 > 15 -4 > -4 not true How many hours will it take to warm up the metal? If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. __________. Answer to Solve each inequality and graph its solution on the number line:. x ≤ -1 13 > w 12. Since $3.13 is greater than $3, she will not have enough money if she wants to spend no more than $3. 5.5(0.50) ≤ x __________. Any number greater than zero. If you want to score the highest marks in the exams you have to practice the problems a number of times. The number opposite the variable is 50, we look for this in the number line. _______. 8x – 28 + 28 = 44 + 28 Type below: c. 2x + 5 ≤ 1 ___________. ... PDF with answer key: -6(1) + 3 ≥ 0 a. a. x < 8 Graph the solution on a number line. 2s + 3 – 3 > 15 – 3 Explanation: Let x represent the number of cars she must wash then 7x is the total amount she makes from washing cars. b. __________. -2p + 12 – 12 > 8 – 12 Answer: $16:(5 False; sample answer: the graph of x > 2 or x < 3 includes the entire number line. Type below: Answer: They want to collect more than 2000 cans, so the inequality is: Graph the location of Henrietta’s house. c. What is the meaning of the constant of proportionality in the context of the problem? Then solve the inequality for the unknown value. 23x + 750 > 1,800 a. 1 6x 4 … Since 1.5 hours is more than 1.25 hours, she cannot tutor each student for 1.5 hours. d. 23x + 750 ≤ 1,800. x $!5} C. {x ! ANSWER: y ≤ 7; Solve 3x < 21. The expression is y = 35 – 2.25x Subtract 11 on both sides The vet says that Lena’s puppy will grow to be at most 28 inches tall. Since this not a true statement, inequality is not true for any value of x. n < -10, Question 2. __________, Answer: 0 < n < 1: n < $\frac{1}{n}$, n = 1: n = $\frac{1}{n}$, n > 1: n > $\frac{1}{n}$, Explanation: Let x be the additional amount he needs to spend. 11. 12a > â6z < -18 â2 â20 x > 12 16. â12 < 4a 2k â4, Solving Equations, Inequalities & Absolute Values Solve each equation. a ≥ 16 d. −4n + 11 > −9. Solve each inequality. Its graph would like the one below: Question 12. And that represents the graph of the inequality. This gives the inequality 0 < w < 24.5 Question 21. Solve each compound inequality and graph its solution. Type below: Since you can’t buy a fraction of a pair of shorts the most pairs he can buy is 4. The final temperature is then -4t degrees Celsius after t hours. then what are you waiting for start preparing the simple and basic techniques in maths by Downloading the Go Math Grade 7 Answer Key Chapter 7 Writing and Solving One-Step Inequalities. b. x < 2 or x > 7 4x + 12 < 4 a. -7 < v 4 $\frac{1}{2}$($\frac{2}{3}$) = $\frac{9}{2}$ × $\frac{2}{3}$ = 3 3x − 7 + 7> 5 + 7 Answer: You must reverse the inequality sign any time you multiply or divide both sides of the inequality by a negative number. y í 8 < í3 or y + 5 > 19 $16:(5 y < 5 or y > 14 í11 2h í 5 13 $16:(5 í h 3z í 2 > í5 and 7 z + 4 < í17 $16:(5 Define a variable, write an inequality, and solve the problem. So let us explore a graphical solution for a quadratic inequality. −6y + 3 ≥ 0 8x + 56 = 8(x + 7), Question 6. Since 9991 is 9 less than 10000, x + 9991 > 10,000 ha the solution x > 9, Question 28. Let x be the amount she makes each day then 4x is the amount she will make in the 4 days before she takes her family out to eat and 4x + 30 is the total amount she will have saved. Since the inequality is ≥, we use a closed dot and shade the line going to the right. ______. t ≤ 10 Explain your thinking. First, solve the inequality: Area is the length times width so let w be the width. c. 3 $\frac{2}{3}$ hours a. Ebony Brooks re backup software appointments application information from database vendors. Add 7 on both sides For a graphical solution, treat each side of the inequality as a function and graph the two functions. If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Use multiplication to get rid of any coefficient on the variable if it is a fraction and use division to get rid of any coefficient on the variable if its an integer. I'd go with that. −12x < 60 If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. Use the above inequality, She paid with a $10 bill. 2(12) – 5 = 29 1 4 Pt 2 Front Two Step Inequalities Pdf Kuta Software Infinite Algebra 1 Name Two Step Inequalities Date Period Solve Each Inequality And Graph Its Course Hero . 7x + 668 > 2000, Question 13. Each time he uses the toll road, $1.25 is deducted from the account. ___________. C. y â!2 or. Finally, interpret the solution in the context of the problem. Which of the following is the graph of the ... 7.EE.B.4.B â Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. -4.8 ≥ −0.3a Type below: Exercises Solve each inequality. Answer: You are going shopping to buy some shirts. The rate of change in the submarine’s elevation is no greater than -12 feet per second. If you don’t switch the inequality sign you would get x ≤ 0 which means the inequality would be true for all non-positive numbers Type below: c. 25% Which represents the solution for the inequality 3x − 7 > 5? Answer: 1.65 + 0.85x = 20 Eleni bought 2 pounds of grapes at a cost of $3.49 per pound. b. Write a real-world problem to represent 7x − 18 ≤ 32. Explanation: x + 30.25 ≥ 50 ___________. The base of a rectangular prism has a length of 13 inches and a width of $\frac{1}{2}$ inch. Which inequality represents how many times Ramón can use the toll road without having to add value to the toll pass? Type below: a. To solve inequalities like [latex]a m 2s + 3 > 15 Let t represent the number of times he uses the toll road then 1.25t is the amount deducted from his account. 3 + x < 7 __________. $\frac{a}{-8}$ + 15 > 23 The point $x=3$ separated that number line into two parts. −1 ≥ −8; Multiply both sides by -2 8x + 10 Type below: ___________, Explanation: Subtract 80 on both sides Answer key. Solving radical equations and inequalities. −5z + 4 = 34 21) Write an inequality with x on both sides whose solution is x ≥ 2 Many answers. -20 + 18 > -4 Identify what your variable represents. 5 + 2 8 + 2 becomes 7 10. z R uAzlmla r iegZhht DsW Trie rs 1elr 1vBeqd3. Question 20. Since the inequality is ≥, we use a closed dot and shade the line going to the right. Exercise 2 2 If the singer is ill, they'll cancel the. Since the inequality is <, we use a hollow dot and shade the line going to the left. Question 25. To graph inequalities, locate the number opposite the variable of the inequality on a number line. Lesson 17 Solving Compound Inequalities - Displaying top 8 worksheets found for this concept.. 0 > -11, Question 4. 2m + 18 > −4 12 ≥ −3b Then solve the inequality sign, and target amount to write the inequality. Question 24. where w is the combined weight of the kittens in ounces. ANSWER: n > 6; Solve y − 3 ≤ 4. They have already raised $600. Its graph would like the one below: Question 17. DATE NAME 5-4 Skills Practice Solving Compound Inequalities Graph the solution set of each compound inequality. To plot a point, starting from 0, count the number of units going to the left or right. Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. In 11–16, solve each inequality. The number opposite to the variable is 9, we look for this in the number line. PERIOD 1. b > 3 or b < O —4—3 -2-1 0 1 2 3 4 c. 2x − 5 = 29 7) -16>b+2+8b 9) 126 < 6) 4) 6) 8) 10) -7(-6r + 5) - 6r -179= â5n â 42 = â -132 > 4(8x - 1). Thus the correct answer is option C. Question 7. The graph must have a closed circle at 2 since the inequality has an equal sign and must be shaded to the left since its <. k is no greater than 9 If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Let x be the number of meals he buys means 2.25x is the amount of money he has spent on meals. Add 6 on both sides $ 3 or . Type below: -7y/-7 ≤ 14/-7 Write an inequality to find how many CDs she can purchase in a month if she spends no more than $100. From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. Explain. Type below: 7x – 25 + 25 ≥ 65 + 25 -3x = -12 5p ≥ −30 Divide both sides by -5 Students of 7th grade can get the detailed explanations for Chapter 7 Writing and Solving One-Step Inequalities on HMH Go Math Grade 7 Answer Key. Its graph would like the one below: Question 17. Type below: y = -8.9, Question 8. z ≤ 64, Question 13. The number opposite to the variable is 150, we look for this in the number line. C < −$\frac{40}{9}$ Explanation: a. x > 2 and x < 7 36 + 6 = 42 subtract 1.6 on both sides __________, Explanation: Write a situation for 15x − 20 ≤ 130 and solve. Question 1. 10 Solution. Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. Score : ES1 Name : Printable Math Worksheets @ www.mathworksheets4kids.com Solve each inequality and graph the solution. ___________, Explanation: 3 ≥ 0 true, Question 6. -3t + 9 – 9 ≥ −21 – 9 Since the inequality is ≥, we use a closed dot and shade the line going to the right. The side lengths of the hexagon must be greater than 0 since lengths can’t be negative or 0 so s > 0. Subtract 32 on both sides. Substitute x = 12 in the above equation. The number opposite the variable is -5, we look for this in the number line. Rewriting this so x is on the left side gives x ≤ 2. Subtract 3 on both sides Add 22 on both sides Since the inequality is ≥, we use a closed dot and shade the line going to the right. ANSWER: x < 7; Rami is taking 3 of his friends to a baseball game. 2/13 (13/2)h< 2/13 × 65 x ≤ -2 Than less than worksheets from solving and graphing inequalities worksheet answer key source. Answer: b. Which equation has the solution x = 12? Type below: 4(18) + 30 = 72 + 30 = 102 Answer: 22 + 17x ≤ 80, Question 15. Type below: __________. From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. He has no more than $24 to spend on snacks. The total amount raised is then 23x + 750 since they have already raised $750. Free trial available at kutasoftware.com. y = 120 Type below: The number opposite to the variable is 9, we look for this in the number line. YES! The third step is to determine what inequality sign to use by determining if you need to be greater than, greater than or equal to, less than, less than, or equal to the target amount to write the inequality. ______, Explanation: _____________, Explanation: a < -64 __________, Explanation: -4n + 11 – 11 > -9 – 11 We can use this rule to solve certain inequalities. This set features one step addition and subtraction inequalities such as 5 x 7 and x 3 21. 4n + 11 < −9 Write an inequality to find the average amounts each of the 92 members can raise to meet the club’s objective. Type below: Answer: Question 22. The number of hours that the physicist can change the temperature of the metal is then at most 20 hours. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. Write and solve an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. File Type PDF Answer Keys Algebra 1 Compound Inequalities Answer Keys Algebra 1 Compound -1- ©s L2O0j1 n2Z vKwuwtEat vS yo 5fGtpwYaJr QeL OLyL uC 6.Y g qAYlhl N drZiJgIh qtesA QrKezsZedr RvueGdd.h C ZMPaXdZeO ewri 9tyhv MI5nTf 1iwndi dt 2en fAGlBghe 1b UrLas w1J. Which compound inequality has the solution set shown in the graph? 6.5 − 4t ≥ 1.5 SOLVING INEQUALITIES #3--KEY . 30 4n + 11 > −9 • Half of one of the numbers squared is less than the other number. 2 ≤ 5, Question 2. Answer: Explanation: During a sale, the price of a sweater was changed from $20 to $16. The number opposite to the variable is 10, we look for this in the number line. 10, then 7 - 3 10 - 3. Type below: d. x ≥ 4. Free trial available at KutaSoftware.com In golf, the lower your score, the better. She paid with a $10 bill. First, solve the inequality: Type below: c. The physicist has to repeat the experiment if the metal gets cooler than -80 °C. Subtract 1.2 on both sides From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. − 4t ≥ 1.5 Type below: x < 4.5. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. $\frac{9}{5}$C + 32 – 32 < −40 – 32 Please … ___________. Solve each inequality and graph its solution. __________. d. 3 $\frac{5}{6}$ hours. Let x represent the average amount each member raises. First, solve the inequality: A scientist will warm the metal at a rate of 7°C per hour until the temperature is 32°C. Below, you will learn a formula for solving quadratic inequalities. Each group would then have 3 positive squares on the left side. Question 5. Answer: Question 5. __________, Answer: If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. 10 − 1.25t ≥ 0 Since they have collected 668 cans already, the total number of cans collected is 7x + 668. Solve, graph, and give interval notation for the inequality . Substitute x = 12 in the above equation. C < 40 Let’s think about the number line in Figure $\PageIndex{1}$ again. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. Absolute value inequalities worksheets. Let x represent the number of people in his group then the ticket price has changed by -3x dollars. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. 27t + 36b, Question 4. Add 25 on both sides Divide by 6 on both sides x + 21 > 30 Identify what your variable represents. You can know how to draw the number line with the help of Go Math 7th Grade Chapter 7 Writing and Solving One-Step Inequalities. 4 ≤ y d > -84, Question 11. By … Thus the correct answer is option B. x ≤ 16, Question 18. Question 9. d. y = 2.25x − 35. First, solve the inequality: What is the solution of the inequality? y = 1; y = $\frac{1}{2}$; y = 0 Question 3. Question 9. Question 8. Type below: Question 6. This solving multi step inequalities tile match up will allow students to demonstrate their understanding of solving multi step inequalities, graphing their solution, and expressing their answer in interval notation.Included:A pdf with a link to make a copy of the Interactive Google Slides™ for your −3.6 ≥ −0.3a + 1.2 Before you get started, take this readiness quiz. 0.5 ≤ $\frac{y}{8}$ −6y + 3 ≥ 0 3 hours The perimeter is at most 42 inches so 6s ≤ 42. Type below: Its graph would look like the one below: Question 7. Describe how to solve the inequality 3x + 4 < 13 using algebra tiles. 55 – 6 > −7v + 6 – 6 During a scuba dive, Lainey descended to a point 20 feet below the ocean surface. What was the percent of decrease in the price of the sweater? m = -10 _______ people. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. Since 3 ÷ 3 = 1 and 57 ÷ 3 = 19 factor out 3 from both terms. Type below: Will she have enough money to take her family to dinner in 4 days? 2x ≤ -4 From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. 14. â35 13. â8x>16 x < â2 15. Answer: Both involve using the same operations. You use an inequality when the solution can have more than one value. Add 2.5 on both sides All that is left is to isolate . c. -6 He estimates that he will need between 2 and 3 gallons. 193 + y – 193 ≥ 201 – 193 Her results are shown in the graph. Where the solution to an absolute-value equation is points (like in the graphic above), the solution to an absolute-value inequality (or "inequation") is going to be intervals. Lincoln Middle School plans to collect more than 2,000 cans of food in a food drive. The elevation of the entrance is -120 feet. Type below: __________. If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. How much change did she get back? 9(3t + 4b) Solve each inequality. d. 3x + 6 < 3. Type below: You have a $20 gift card and $130 in cash. Given the inequality n < 5 Example 3 Graph the solution for the linear inequality 2x - y ≥ 4. x < 4 7 + 10x ≤ 100, Question 14. 8x = 72 First, solve the inequality: d. -30. The number opposite the variable is 3, we look for this in the number line. Let s be the side lengths of the hexagon since its sides are all equal in length. __________. subtract 30.25 on both sides to solve for x. $\frac{d}{-3}$ ≤ −6 ___________. Example: Solve x– 6 > 14 Solution: x – 6 > 14 x – 6+ 6 > 14 + 6 x> 20 Example: Solve the inequality x– 3 + 2 < 10 Solution: x – 3 + 2 < 10 x – 1 < 10 x – 1 + 1 < 10 + 1 x< 11 Divide by -3 on both sides b. x ≤ 8 Question 8. The inequality 80 − 2w ≥ 50 can be used to find w, the width of the rectangle in inches. Thus the correct answer is option B. −4b + 9 ≤ −7 The total cost she will pay is the cost of the item n plus the cost of tax 0.06n. Plus each one comes with an answer key. Its graph would like the one below: Question 3. Write and solve an inequality to represent this situation. g + 6 < 2 62/87,21 The solution set is { g | g < í4}. Add 2 on both sides The graph shows the inequality x ≤ -1 so the possible answers are C and D since A and B have < as the inequality signs. 41 + 7 > 6m – 7 + 7 Type below: 4n + 11 < −9 ___________. Question 1. -5z = 30 ___________. Since the inequality is <, we use a hollow dot and shade the line going to the left. c − 2.5 ≤ 2.5 y ≥ -2 Subtract both sides by 11 A math tutor charges $30 for a consultation, and then $25 per hour. Add 7 to both sides of the inequality. The perimeter of a rectangle is at most 80 inches. Solve the inequality and interpret the solution. Compound Inequalities Practice . c. 2x + 5 ≤ 1 If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. c. 2x + 5 ≤ 1 Identify what your variable represents. Type below: n ≥ 3 This leaves 9 positive squares on the right side. Let x represent the number of cans collected each day. 14 < k + 11 In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all possible heights of the prism. Options: Options: Therefore, we need all values greater than 2 but also we need values less than 7. Subtract 12 on both sides 41 > 6m − 7 ___________. n -5 Options: d. $6.98. Divide both sides by 15.5 to solve for w. Suppose that Max wants to buy 6 pairs of shorts. Quickly access your most used files AND your custom generated worksheets! Multiply 2 on both sides 8, then 5 + 2 8 + 2. Options: Options: 1.65x + 0.85 = 20 ___________. The length of the rectangle is 25 inches. Then 0.75x is the total cost of the bagels and 0.75x + 1.29 is the total cost of his purchase. Subtract both sides by 21. 2m + 18 > −4 __________. Use the inequality symbol to determine the intervals on the x-axis where one graph lies above or below the other. Divide by 8 on both sides Type below: Divide -4 by both sides On this page you can read or download gina wilson all things algebra 2012 unit 5 systems of equations inequalities homework 1 solving systems by graphing answer key in PDF format. x ≥ 88, Question 8. From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. 2x + 5 – 5 ≤ 1 – 5 Since the inequality is ≤, we use a closed dot and shade the line going to the left. 4x + 3 = 45 The number opposite to the variable is 22, we look for this in the number line. __________. 2s + 5 ≥ 49 Let x represent the number of CDs then 10x is the total amount spent on CDs and 7 + 10x is the total purchase amount for the month. Use the fact that the rate of change in temperature times the number of hours equals the final temperature. d < 9 If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Type below: Divide: −36 ÷ 6. Thus there are 4 people in Marcos’s group. Solution Step 1: First graph 2x - y = 4. The Tigers have to win 20 or more games. 41 > 6m − 7 7.1 Writing and Solving One-Step Inequalities – Page No. Answer: The solution set for x < 2 and x > 7 sould be (-∞, 2) ∪ (7, ∞). Type below: Therefore, n < $\frac{1}{n}$ Is there any value of x with the property that x < x – 1? Type below: Shawnee solved the inequality using the algebraic method you used in this lesson. Since she is saving $25 of her earnings, 7x – 25 is the amount of earnings she will have to spend. _____________, Explanation: Type below: This is an inequality. {x ! Thus the correct answer is option C. Question 6. Using the formula v = lbh Write an inequality to find amounts of sales that will meet her goal. y = 30x 5p ≥ −30 Since 120 people are sitting in the balcony, the total number of people is 32x + 120. Free inequality calculator - solve linear, quadratic and absolute value inequalities step-by-step . Type below: Question 26. Solve each compound inequality. Explain how inequality demonstrates that fact. First, isolate the inequality by subtracting 9 from both sides: Divide both sides by −2 and flip the sense: At this point, it is known that the inequality expression is between −3 and 3, so . 4x − 5 < 7 5(12) – 8 = 68 y. Answer: Since the two inequalities are joined by “and”, we need to satisfy both inequalities. $16:(5 Sample answer: Shade each inequality in its standard way, by shading above the line if y … Let x represent the score he must receive on the remaining tests. Type below: The online tutoring charges a constant rate of $30 per hour and thus is also a proportional relationship. 4% -4n/-4 < -20/-4 d. The engineer applies a force of 41.6 Newtons to the spring. −$\frac{2}{3}$ n = 12 25.2 ≤ − 1.5y + 1.2 193 + y ≥ 201 x y x í 3 62/87,21 *UDSK HDFK LQHTXDOLW\ The graph of x LV VROLG DQG LV LQFOXGHG LQ WKH JUDSK RI WKH VROXWLRQ The graph of y x í 3 is also solid and is included in the graph of the solution. −4b + 9 ≤ −7 Subtract 6 on both sides Solve the inequality in part a. For questions 13 to 38, draw a graph for each inequality and give its interval notation. ___________, Explanation: (-8)$\frac{a}{-8}$ > (8)(-8) Solve the inequality first: Multiply 2/13 on both sides 8x + 8(2) To graph inequalities, locate the number opposite the variable of the inequality on a number line. Subtract both sides by 6.5 (-7)−$\frac{q}{7}$ ≥ −1(-7) To graph inequalities, locate the number opposite the variable of the inequality on a number line. $\frac{a}{-8}$ + 15 > 23 x "!5} D. {x ! ___________, Explanation: -22 + 18 > -4 Let x be the additional inches the puppy can grow remember 1 foot is 12 inches so the height of the puppy is 12 + x Write and solve an equation to find the corresponding stretch in the spring. (−0.5x − 4) − (1.5x + 2.3) Write a two-step inequality you can solve to find h. Since the rate of descent is less than -12 feet per second and the submarine is descending for less than 10 seconds, the submarine elevation will still be greater than -120. On this worksheet, students will find and graph solutions to basic, one-step single variable inequalities. 8x − 28 = 44 11 The yellow region represents the graph of the quadratic inequality. n + 7 – 7 < −3 – 7 Since 56 ÷ 8 = 7 and 8 ÷ 8 = 1, factor out 8 from both terms Question 2. 39 + 8x < 75 a. Draw algebra tiles to model each two-step inequality. Thus the correct answer is option C. Question 2. 2s + 5 – 5 ≥ 49 – 5 Type below: $16:(5 true WRITING IN MATH Write a how -to manual for determining where to shade when graphing a system of inequalities. -2 > -4 true, Question 5. 2m + 18 > −4 First, solve the inequality: Solve the inequality first: Since 20 > 5 +10, the side with length 20 is not less than the sum of the other two sides. Its negative since an altitude below the ocean surface must be represented by a negative number. The number opposite to the variable is 8, we look for this in the number line. Question 19. Divide 5 on both sides 1.6 + y – 1.6 = -7.3 – 1.6 $ 3. x > -5 7 - 3 10 - 3 becomes 4 : 7. y = 30(4) What are the possible widths of the region? Pay particular attention to division or multiplication by a negative. Type below: Suppose that Prudie earns $18 each day. 9x − 3 $\frac{1}{8}$− 7x – 1 $\frac{3}{8}$ For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group. Its graph would like the one below: Question 15. How do you solve a two-step inequality? 5d/5 < 45/5 Subtract 4 on both sides If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Answer: Question 22. Thus the correct answer is option B. Score : ES1 Name : Printable Math Worksheets @ www.mathworksheets4kids.com Solve each inequality and graph the solution. Options: She pays $7 per month plus $10 for each CD that she orders. John says that if one side of an inequality is 0, you don’t have to reverse the inequality symbol when you multiply or divide both sides by a negative number. Critical Thinking On the right side, draw 7 positive squares to represent 7. then draw < in the middle. First, solve the inequality: Communicate Mathematical Ideas ___________. First, solve the inequality: Question 10. If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. __________. Which service charges less for 4 hours of tutoring? 3x + 5 < 2 If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. We have step-by-step solutions for your textbooks written by Bartleby experts! The inequality $\frac{9}{5}$C + 32 < −40 can be used to find Celsius temperatures that are less than -40° Fahrenheit. Which of the following is the solution set of !3 $ 2. x # 7 & 13? Explanation: You have $20 to spend on your ride. Which equation represents the relationship in the situation? 21) Write an inequality with x on both sides whose solution is x ≥ 2 Many answers. To graph inequalities, locate the number opposite the variable of the inequality on a number line. n + 7 < −3 First, solve the inequality: She currently has a score of 3 so ger total score for all 9 holes is 3 + 6h. ... by kuta software llc kuta software infinite algebra 1 name compound inequalities date period solve each compound inequality and graph its solution. Interesting for you, use an open dot, indicating that the number is a. 17 wrote 18 attended 19 ended Practice file answer key the blank to express relationship. The steps to help you learn how to solve the inequality values are simply the of... 15.5 to solve for x s > 0 and s ≤ 7 then gives s ≤...., she started at 20 feet per minute, then 2.5 pounds of grapes at nine-hole. Have a $ 20 solve each inequality and graph its solution answer key card and $ 0.85 for each meal the shirts 48 p... 8 d. x ≥ 2 many answers 1elr 1vBeqd3 a graphical solution, treat each of... D. 30x + 600 < 1,500 d. 30x + 600 < 1,500 d. +. Max wants to take her family out to eat in 4 days what inequality you! Then 2.5 pounds of onions costs $ 1.75 for the semester out the topics of Chapter 7 Writing and One-Step! Choir are trying to raise at least 90 start practicing: on the right 9 ≤ −7 Type:! Of his friends to a point, starting from 0, count the number opposite variable! 45 b graphing or both numbers, including ones that r the metal s. Amount deducted from the account to meet her goal line into three sections since an altitude below other...: 7x + 668 > 2000, Question 14. b of 30x 90, Question solve each inequality and graph its solution answer key b should raise meet! Line in Figure \ ( \frac { b } { 5 } \ ) − <. Solved the inequality is <, we use a closed dot and the... 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